Abstract
This paper provides break of an image encryption algorithm suggested by Xu et al. recently in [Commun Nonlinear Sci Numer Simulat 19 (10) 3735–3744 2014]. The authors realized a Laplace transformation based synchronization between two fractional-order chaotic systems to execute error-free encryption and decryption of digital images. The statistical analyses show the consistent encryption strength of Xu et al. algorithm. However, a careful probe of their algorithm uncovers underlying security shortcomings which make it vulnerable to cryptanalysis. In this paper, we analyze its security and proposed chosen plaintext-attack/known plaintext-attack to break the algorithm completely. It is shown that the plain-image can be successfully recovered without knowing secret key. The simulation of proposed cryptanalysis evidences that Xu et al. algorithm is not secure enough for practical utilization.
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References
Hermassi, H., Rhouma, R., Belghith, S.: Security analysis of image cryptosystems only or partially based on a chaotic permutation. Journal of Systems and Software 85(9), 2133–2144 (2012)
Çokal, C., Solak, E.: Cryptanalysis of a chaos-based image encryption algorithm. Physics Letters A 373(15), 1357–1360 (2009)
Rhouma, R., Solak, E., Belghith, S.: Cryptanalysis of a new substitution-diffusion based image cipher. Communication in Nonlinear Science and Numerical Simulation 15(7), 1887–1892 (2010)
Li, C., Lo, K.T.: Optimal quantitative cryptanalysis of permutation-only multimedia ciphers against plaintext attacks. Signal Processing 91(4), 949–954 (2011)
Rhouma, R., Belghith, S.: Cryptanalysis of a spatiotemporal chaotic cryptosystem. Chaos, Solitons & Fractals 41(4), 1718–1722 (2009)
Ahmad, M.: Cryptanalysis of chaos based secure satellite imagery cryptosystem. In: Aluru, S., Bandyopadhyay, S., Catalyurek, U.V., Dubhashi, D.P., Jones, P.H., Parashar, M., Schmidt, B. (eds.) IC3 2011. CCIS, vol. 168, pp. 81–91. Springer, Heidelberg (2011)
Rhouma, R., Belghith, S.: Cryptanalysis of a new image encryption algorithm based on hyper-chaos. Physics Letters A 372(38), 5973–5978 (2008)
Özkaynak, F., Özer, A.B., Yavuz, S.: Cryptanalysis of a novel image encryption scheme based on improved hyperchaotic sequences. Optics Communications 285(2), 4946–4948 (2012)
Solak, E., Rhouma, R., Belghith, S.: Cryptanalysis of a multi-chaotic systems based image cryptosystem. Optics Communications 283(2), 232–236 (2010)
Sharma, P.K., Ahmad, M., Khan, P.M.: Cryptanalysis of image encryption algorithm based on pixel shuffling and chaotic S-box transformation. In: Mauri, J.L., Thampi, S.M., Rawat, D.B., Jin, D. (eds.) SSCC 2014. CCIS, vol. 467, pp. 173–181. Springer, Heidelberg (2014)
Schneier, B.: Applied Cryptography: Protocols Algorithms and Source Code in C. Wiley, New York (1996)
Bard, G.V.: Algebraic Cryptanalysis. Springer, Berlin (2009)
Military Cryptanalysis Part I- National Security Agency, http://www.nsa.gov/public_info/_files/military_cryptanalysis/mil_crypt_I.pdf (last access on August 30, 2014)
Xu, Y., Wang, H., Li, Y., Pei, B.: Image encryption based on synchronization of fractional chaotic systems. Communications in Nonlinear Science and Numerical Simulation 19(10), 3735–3744 (2014)
Li, R.H., Chen, W.S.: Complex dynamical behavior and chaos control in fractional-order Lorenz-like systems. Chinese Physics B 22(4), 040503 (2012)
Petráš, I.: Fractional-order nonlinear systems modeling, analysis and simulation. Springer, Heidelberg (2011)
Kerckhoffs’s principle, http://crypto-it.net/eng/theory/kerckhoffs.html (last access on August 28, 2014)
Shannon, C.E.: Communication Theory of Secrecy Systems. Bell System Technical Journal 28, 662 (1949)
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Ahmad, M., Khan, I.R., Alam, S. (2015). Cryptanalysis of Image Encryption Algorithm Based on Fractional-Order Lorenz-Like Chaotic System. In: Satapathy, S., Govardhan, A., Raju, K., Mandal, J. (eds) Emerging ICT for Bridging the Future - Proceedings of the 49th Annual Convention of the Computer Society of India CSI Volume 2. Advances in Intelligent Systems and Computing, vol 338. Springer, Cham. https://doi.org/10.1007/978-3-319-13731-5_41
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DOI: https://doi.org/10.1007/978-3-319-13731-5_41
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13730-8
Online ISBN: 978-3-319-13731-5
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